TBH - if I felt so strongly about something based on my morals, I would stop watching the game altogether. I wouldn't do it half-heartedly and ditch my morals as soon as it suited me and my club.
No I think that they care about the game but as long as their club is part of it as well.
For example if your team were booted out of the League in favor of a fast tracked club and denied a fair way back in do you honestly believe that the opinions would be the same. Your answer will without a doubt be yes but it's easy to say yes when you are part of the 'big boys'.
I can absolutely understand you disliking the current system - I don't think it is the best system necessarily - but I don't buy the morals argument you use.